5305130441000 has 128 divisors (see below), whose sum is σ = 13487241549600. Its totient is φ = 1941482188800.

The previous prime is 5305130440927. The next prime is 5305130441011. The reversal of 5305130441000 is 1440315035.

It can be written as a sum of positive squares in 16 ways, for example, as 4244564134756 + 1060566306244 = 2060234^2 + 1029838^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336695 + ... + 3274694.

Almost surely, 2^{5305130441000} is an apocalyptic number.

5305130441000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305130441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743620774800).

5305130441000 is an abundant number, since it is smaller than the sum of its proper divisors (8182111108600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5305130441000 is a wasteful number, since it uses less digits than its factorization.

5305130441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611536 (or 3611522 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 5305130441000 its reverse (1440315035), we get a palindrome (5306570756035).

The spelling of 5305130441000 in words is "five trillion, three hundred five billion, one hundred thirty million, four hundred forty-one thousand".